?. 7. Find (1 - V3i) by first converting 1 - V3i to polar (trigonometric) form, then raise to the power of 6, then convert back to standard form. 8. Find all 8 solutions to 18 = 14. Write in terms of x and y only. sin(tan (x) - tan '(y)) 5. Use the "double angle formula" to solve 2 sin?(x) = 2 + cos(2.x) 6. Write in terms of sine only. (See section 7.2) sin (x) - V3 cos(x)162 Test 3 take home portion Name: Prove the following. Show all steps. 1. sin(x - 7) - sin(x + 7) = 0 2. cos(x) 1 - sin(x) = sec(x) + tan(x) 3. (sin(r) + cos(x) )2 = 1 + sin(2x)